Phase transitions in the Shastry-Sutherland lattice

TL;DR

This paper investigates phase transitions in the Shastry-Sutherland lattice using two theoretical approaches, revealing an intermediate gapped phase between known magnetic phases within a specific coupling ratio range.

Contribution

It introduces and applies a self-consistent perturbation and a renormalized excitonic method to identify and confirm an intermediate gapped phase in the lattice.

Findings

Existence of an intermediate phase between dimer and Ising phases.

Gapped phase confirmed in the ratio 0.66 < J'/J < 0.86.

Methods accurately reproduce the singlet triplet gap.

Abstract

Two recently developed theoretical approaches are applied to the Shastry-Sutherland lattice, varying the ratio $J'/J$ between the couplings on the square lattice and on the oblique bonds. A self-consistent perturbation, starting from either Ising or plaquette bond singlets, supports the existence of an intermediate phase between the dimer phase and the Ising phase. This existence is confirmed by the results of a renormalized excitonic method. This method, which satisfactorily reproduces the singlet triplet gap in the dimer phase, confirms the existence of a gapped phase in the interval $0.66<J'/J<0.86$